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Answer:
Option A. ; grows approximately at a rate of 0.4% daily
Step-by-step explanation:
we have
where
f(x) the number of weeds in the garden
x ----> the number of weeks
Calculate how quickly the weeds grow each day
Remember that a week is equal to seven days
so
Using the law of exponents
b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
so
therefore
The rate is approximately
1.04=1+r
r=1.04-1=0.04=4% daily
Answer: y-axis.
Explanation:
The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.
The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.
Also, I attached the graph in cartesian coordinates.
Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).
<span> <span><span> θ (rad) r = 3 - 4 sin θ </span> <span>
0 3 </span> <span>
π/8 2.61731657 </span>
<span> π/4 2.29289322 </span> <span>
3π/8 2.07612047
</span> <span> π/2 2
</span> <span> 5π/8 2.07612047 </span> <span>
3π/4 2.29289322 </span> <span>
7π/8 2.61731657 </span> <span>
π 3 </span> <span>
9π/8 3.38268343 </span> <span>
5π/4 3.70710678 </span> <span>
11π/8 3.92387953 </span> <span>
3π/2 4 </span> <span>
13π/8 3.92387953 </span> <span>
7π/4 3.70710678 </span> <span>
15π/8 3.38268343 </span> <span>
2π 3 </span> </span></span>
In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.
Therefore, the graph is symmetric about the y-axis.
Explanation:
The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.
The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.
Also, I attached the graph in cartesian coordinates.
Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).
<span> <span><span> θ (rad) r = 3 - 4 sin θ </span> <span>
0 3 </span> <span>
π/8 2.61731657 </span>
<span> π/4 2.29289322 </span> <span>
3π/8 2.07612047
</span> <span> π/2 2
</span> <span> 5π/8 2.07612047 </span> <span>
3π/4 2.29289322 </span> <span>
7π/8 2.61731657 </span> <span>
π 3 </span> <span>
9π/8 3.38268343 </span> <span>
5π/4 3.70710678 </span> <span>
11π/8 3.92387953 </span> <span>
3π/2 4 </span> <span>
13π/8 3.92387953 </span> <span>
7π/4 3.70710678 </span> <span>
15π/8 3.38268343 </span> <span>
2π 3 </span> </span></span>
In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.
Therefore, the graph is symmetric about the y-axis.